Question

If $A=2\times 2\times 2\times 3\times 3$ and $B=2\times 2\times 3$, then how many factors does $\frac{A}{B}$ have?

• A. 24
• B. 6
• C. 4
• D. 3

Answer 1

The correct option is C 4

Given that $A=2\times 2\times 2\times 3\times 3$ and $B=2\times 2\times 3$.
Thus, $\frac{A}{B}=2\times 3$.
$⟹\frac{A}{B}$ has $(1+1)(1+1)=4$ factors in all.